home | career | drupal | java | mac | mysql | perl | scala | uml | unix  

Java example source code file (DfpMathTest.java)

This example Java source code file (DfpMathTest.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

after, before, dfp, dfpfield, dfpmathtest, nans, string, test, ulp

The DfpMathTest.java Java example source code

/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package org.apache.commons.math3.dfp;

import org.junit.After;
import org.junit.Assert;
import org.junit.Before;
import org.junit.Test;

public class DfpMathTest {

    private DfpField factory;
    private Dfp pinf;
    private Dfp ninf;
    private Dfp nan;
    private Dfp qnan;

    @Before
    public void setUp() {
        // Some basic setup.  Define some constants and clear the status flags
        factory = new DfpField(20);
        pinf = factory.newDfp("1").divide(factory.newDfp("0"));
        ninf = factory.newDfp("-1").divide(factory.newDfp("0"));
        nan = factory.newDfp("0").divide(factory.newDfp("0"));
        qnan = factory.newDfp((byte)1, Dfp.QNAN);
        ninf.getField().clearIEEEFlags();

        // force loading of dfpmath
        Dfp pi = factory.getPi();
        pi.getField().clearIEEEFlags();
    }

    @After
    public void tearDown() {
        pinf = null;
        ninf = null;
        nan  = null;
        qnan = null;
    }

    // Generic test function.  Takes params x and y and tests them for
    // equality.  Then checks the status flags against the flags argument.
    // If the test fail, it prints the desc string
    private void test(Dfp x, Dfp y, int flags, String desc)
    {
        boolean b = x.equals(y);

        if (!x.equals(y) && !x.unequal(y))  // NaNs involved
            b = (x.toString().equals(y.toString()));

        if (x.equals(factory.newDfp("0")))  // distinguish +/- zero
            b = (b && (x.toString().equals(y.toString())));

        b = (b && x.getField().getIEEEFlags() == flags);

        if (!b)
            Assert.assertTrue("assersion failed "+desc+" x = "+x.toString()+" flags = "+x.getField().getIEEEFlags(), b);

        x.getField().clearIEEEFlags();
    }

    @Test
    public void testPow()
    {
        // Test special cases  exponent of zero
        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("0")),
             factory.newDfp("1"),
             0, "pow #1");

        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("-0")),
             factory.newDfp("1"),
             0, "pow #2");

        test(DfpMath.pow(factory.newDfp("2"), factory.newDfp("0")),
             factory.newDfp("1"),
             0, "pow #3");

        test(DfpMath.pow(factory.newDfp("-2"), factory.newDfp("-0")),
             factory.newDfp("1"),
             0, "pow #4");

        test(DfpMath.pow(pinf, factory.newDfp("-0")),
             factory.newDfp("1"),
             0, "pow #5");

        test(DfpMath.pow(pinf, factory.newDfp("0")),
             factory.newDfp("1"),
             0, "pow #6");

        test(DfpMath.pow(ninf, factory.newDfp("-0")),
             factory.newDfp("1"),
             0, "pow #7");

        test(DfpMath.pow(ninf, factory.newDfp("0")),
             factory.newDfp("1"),
             0, "pow #8");

        test(DfpMath.pow(qnan, factory.newDfp("0")),
             factory.newDfp("1"),
             0, "pow #8");

        // exponent of one
        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("1")),
             factory.newDfp("0"),
             0, "pow #9");

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("1")),
             factory.newDfp("-0"),
             0, "pow #10");

        test(DfpMath.pow(factory.newDfp("2"), factory.newDfp("1")),
             factory.newDfp("2"),
             0, "pow #11");

        test(DfpMath.pow(factory.newDfp("-2"), factory.newDfp("1")),
             factory.newDfp("-2"),
             0, "pow #12");

        test(DfpMath.pow(pinf, factory.newDfp("1")),
             pinf,
             0, "pow #13");

        test(DfpMath.pow(ninf, factory.newDfp("1")),
             ninf,
             0, "pow #14");

        test(DfpMath.pow(qnan, factory.newDfp("1")),
             qnan,
             DfpField.FLAG_INVALID, "pow #14.1");

        // exponent of NaN
        test(DfpMath.pow(factory.newDfp("0"), qnan),
             qnan,
             DfpField.FLAG_INVALID, "pow #15");

        test(DfpMath.pow(factory.newDfp("-0"), qnan),
             qnan,
             DfpField.FLAG_INVALID, "pow #16");

        test(DfpMath.pow(factory.newDfp("2"), qnan),
             qnan,
             DfpField.FLAG_INVALID, "pow #17");

        test(DfpMath.pow(factory.newDfp("-2"), qnan),
             qnan,
             DfpField.FLAG_INVALID, "pow #18");

        test(DfpMath.pow(pinf, qnan),
             qnan,
             DfpField.FLAG_INVALID, "pow #19");

        test(DfpMath.pow(ninf, qnan),
             qnan,
             DfpField.FLAG_INVALID, "pow #20");

        test(DfpMath.pow(qnan, qnan),
             qnan,
             DfpField.FLAG_INVALID, "pow #21");

        // radix of NaN
        test(DfpMath.pow(qnan, factory.newDfp("1")),
             qnan,
             DfpField.FLAG_INVALID, "pow #22");

        test(DfpMath.pow(qnan, factory.newDfp("-1")),
             qnan,
             DfpField.FLAG_INVALID, "pow #23");

        test(DfpMath.pow(qnan, pinf),
             qnan,
             DfpField.FLAG_INVALID, "pow #24");

        test(DfpMath.pow(qnan, ninf),
             qnan,
             DfpField.FLAG_INVALID, "pow #25");

        test(DfpMath.pow(qnan, qnan),
             qnan,
             DfpField.FLAG_INVALID, "pow #26");

        // (x > 1) ^ pinf = pinf,    (x < -1) ^ pinf = pinf
        test(DfpMath.pow(factory.newDfp("2"), pinf),
             pinf,
             0, "pow #27");

        test(DfpMath.pow(factory.newDfp("-2"), pinf),
             pinf,
             0, "pow #28");

        test(DfpMath.pow(pinf, pinf),
             pinf,
             0, "pow #29");

        test(DfpMath.pow(ninf, pinf),
             pinf,
             0, "pow #30");

        // (x > 1) ^ ninf = +0,    (x < -1) ^ ninf = +0
        test(DfpMath.pow(factory.newDfp("2"), ninf),
             factory.getZero(),
             0, "pow #31");

        test(DfpMath.pow(factory.newDfp("-2"), ninf),
             factory.getZero(),
             0, "pow #32");

        test(DfpMath.pow(pinf, ninf),
             factory.getZero(),
             0, "pow #33");

        test(DfpMath.pow(ninf, ninf),
             factory.getZero(),
             0, "pow #34");

        // (-1 < x < 1) ^ pinf = 0
        test(DfpMath.pow(factory.newDfp("0.5"), pinf),
             factory.getZero(),
             0, "pow #35");

        test(DfpMath.pow(factory.newDfp("-0.5"), pinf),
             factory.getZero(),
             0, "pow #36");

        // (-1 < x < 1) ^ ninf = pinf
        test(DfpMath.pow(factory.newDfp("0.5"), ninf),
             pinf,
             0, "pow #37");

        test(DfpMath.pow(factory.newDfp("-0.5"), ninf),
             pinf,
             0, "pow #38");

        // +/- 1  ^ +/-inf  = NaN
        test(DfpMath.pow(factory.getOne(), pinf),
             qnan,
             DfpField.FLAG_INVALID, "pow #39");

        test(DfpMath.pow(factory.getOne(), ninf),
             qnan,
             DfpField.FLAG_INVALID, "pow #40");

        test(DfpMath.pow(factory.newDfp("-1"), pinf),
             qnan,
             DfpField.FLAG_INVALID, "pow #41");

        test(DfpMath.pow(factory.getOne().negate(), ninf),
             qnan,
             DfpField.FLAG_INVALID, "pow #42");

        // +0  ^ +anything except 0, NAN  = +0

        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("1")),
             factory.newDfp("0"),
             0, "pow #43");

        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("1e30")),
             factory.newDfp("0"),
             0, "pow #44");

        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("1e-30")),
             factory.newDfp("0"),
             0, "pow #45");

        test(DfpMath.pow(factory.newDfp("0"), pinf),
             factory.newDfp("0"),
             0, "pow #46");

        // -0  ^ +anything except 0, NAN, odd integer  = +0

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("2")),
             factory.newDfp("0"),
             0, "pow #47");

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("1e30")),
             factory.newDfp("0"),
             0, "pow #48");

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("1e-30")),
             factory.newDfp("0"),
             DfpField.FLAG_INEXACT, "pow #49");

        test(DfpMath.pow(factory.newDfp("-0"), pinf),
             factory.newDfp("0"),
             0, "pow #50");

        // +0  ^ -anything except 0, NAN  = +INF

        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("-1")),
             pinf,
             0, "pow #51");

        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("-1e30")),
             pinf,
             0, "pow #52");

        test(DfpMath.pow(factory.newDfp("0"), factory.newDfp("-1e-30")),
             pinf,
             0, "pow #53");

        test(DfpMath.pow(factory.newDfp("0"), ninf),
             pinf,
             0, "pow #54");

        // -0  ^ -anything except 0, NAN, odd integer  = +INF

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("-2")),
             pinf,
             0, "pow #55");

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("-1e30")),
             pinf,
             0, "pow #56");

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("-1e-30")),
             pinf,
             DfpField.FLAG_INEXACT, "pow #57");

        test(DfpMath.pow(factory.newDfp("-0"), ninf),
             pinf,
             0, "pow #58");

        // -0  ^ -odd integer   =  -INF
        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("-1")),
             ninf,
             DfpField.FLAG_INEXACT, "pow #59");

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("-12345")),
             ninf,
             DfpField.FLAG_INEXACT, "pow #60");

        // -0  ^ +odd integer   =  -0
        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("3")),
             factory.newDfp("-0"),
             DfpField.FLAG_INEXACT, "pow #61");

        test(DfpMath.pow(factory.newDfp("-0"), factory.newDfp("12345")),
             factory.newDfp("-0"),
             DfpField.FLAG_INEXACT, "pow #62");

        // pinf  ^ +anything   = pinf
        test(DfpMath.pow(pinf, factory.newDfp("3")),
             pinf,
             0, "pow #63");

        test(DfpMath.pow(pinf, factory.newDfp("1e30")),
             pinf,
             0, "pow #64");

        test(DfpMath.pow(pinf, factory.newDfp("1e-30")),
             pinf,
             0, "pow #65");

        test(DfpMath.pow(pinf, pinf),
             pinf,
             0, "pow #66");

        // pinf  ^ -anything   = +0

        test(DfpMath.pow(pinf, factory.newDfp("-3")),
             factory.getZero(),
             0, "pow #67");

        test(DfpMath.pow(pinf, factory.newDfp("-1e30")),
             factory.getZero(),
             0, "pow #68");

        test(DfpMath.pow(pinf, factory.newDfp("-1e-30")),
             factory.getZero(),
             0, "pow #69");

        test(DfpMath.pow(pinf, ninf),
             factory.getZero(),
             0, "pow #70");

        // ninf  ^ anything   = -0 ^ -anything
        // ninf  ^ -anything except 0, NAN, odd integer  = +0

        test(DfpMath.pow(ninf, factory.newDfp("-2")),
             factory.newDfp("0"),
             0, "pow #71");

        test(DfpMath.pow(ninf, factory.newDfp("-1e30")),
             factory.newDfp("0"),
             0, "pow #72");

        test(DfpMath.pow(ninf, factory.newDfp("-1e-30")),
             factory.newDfp("0"),
             DfpField.FLAG_INEXACT, "pow #73");

        test(DfpMath.pow(ninf, ninf),
             factory.newDfp("0"),
             0, "pow #74");

        // ninf  ^ +anything except 0, NAN, odd integer  = +INF

        test(DfpMath.pow(ninf, factory.newDfp("2")),
             pinf,
             0, "pow #75");

        test(DfpMath.pow(ninf, factory.newDfp("1e30")),
             pinf,
             0, "pow #76");

        test(DfpMath.pow(ninf, factory.newDfp("1e-30")),
             pinf,
             DfpField.FLAG_INEXACT, "pow #77");

        test(DfpMath.pow(ninf, pinf),
             pinf,
             0, "pow #78");

        // ninf  ^ +odd integer   =  -INF
        test(DfpMath.pow(ninf, factory.newDfp("3")),
             ninf,
             DfpField.FLAG_INEXACT, "pow #79");

        test(DfpMath.pow(ninf, factory.newDfp("12345")),
             ninf,
             DfpField.FLAG_INEXACT, "pow #80");

        // ninf  ^ -odd integer   =  -0
        test(DfpMath.pow(ninf, factory.newDfp("-3")),
             factory.newDfp("-0"),
             DfpField.FLAG_INEXACT, "pow #81");

        test(DfpMath.pow(ninf, factory.newDfp("-12345")),
             factory.newDfp("-0"),
             DfpField.FLAG_INEXACT, "pow #82");

        // -anything ^ integer
        test(DfpMath.pow(factory.newDfp("-2"), factory.newDfp("3")),
             factory.newDfp("-8"),
             DfpField.FLAG_INEXACT, "pow #83");

        test(DfpMath.pow(factory.newDfp("-2"), factory.newDfp("16")),
             factory.newDfp("65536"),
             0, "pow #84");

        test(DfpMath.pow(factory.newDfp("-2"), factory.newDfp("-3")),
             factory.newDfp("-0.125"),
             DfpField.FLAG_INEXACT, "pow #85");

        test(DfpMath.pow(factory.newDfp("-2"), factory.newDfp("-4")),
             factory.newDfp("0.0625"),
             0, "pow #86");

        // -anything ^ noninteger = NaN

        test(DfpMath.pow(factory.newDfp("-2"), factory.newDfp("-4.1")),
             qnan,
             DfpField.FLAG_INVALID|DfpField.FLAG_INEXACT, "pow #87");

        // Some fractional cases.
        test(DfpMath.pow(factory.newDfp("2"),factory.newDfp("1.5")),
             factory.newDfp("2.8284271247461901"),
             DfpField.FLAG_INEXACT, "pow #88");
    }

    @Test
    public void testSin()
    {
        test(DfpMath.sin(pinf),
             nan,
             DfpField.FLAG_INVALID|DfpField.FLAG_INEXACT, "sin #1");

        test(DfpMath.sin(nan),
             nan,
             DfpField.FLAG_INVALID|DfpField.FLAG_INEXACT, "sin #2");

        test(DfpMath.sin(factory.getZero()),
             factory.getZero(),
             DfpField.FLAG_INEXACT, "sin #3");

        test(DfpMath.sin(factory.getPi()),
             factory.getZero(),
             DfpField.FLAG_INEXACT, "sin #4");

        test(DfpMath.sin(factory.getPi().negate()),
             factory.newDfp("-0"),
             DfpField.FLAG_INEXACT, "sin #5");

        test(DfpMath.sin(factory.getPi().multiply(2)),
             factory.getZero(),
             DfpField.FLAG_INEXACT, "sin #6");

        test(DfpMath.sin(factory.getPi().divide(2)),
             factory.getOne(),
             DfpField.FLAG_INEXACT, "sin #7");

        test(DfpMath.sin(factory.getPi().divide(2).negate()),
             factory.getOne().negate(),
             DfpField.FLAG_INEXACT, "sin #8");

        test(DfpMath.sin(DfpMath.atan(factory.getOne())),  // pi/4
             factory.newDfp("0.5").sqrt(),
             DfpField.FLAG_INEXACT, "sin #9");

        test(DfpMath.sin(DfpMath.atan(factory.getOne())).negate(),  // -pi/4
             factory.newDfp("0.5").sqrt().negate(),
             DfpField.FLAG_INEXACT, "sin #10");

        test(DfpMath.sin(DfpMath.atan(factory.getOne())).negate(),  // -pi/4
             factory.newDfp("0.5").sqrt().negate(),
             DfpField.FLAG_INEXACT, "sin #11");

        test(DfpMath.sin(factory.newDfp("0.1")),
             factory.newDfp("0.0998334166468281523"),
             DfpField.FLAG_INEXACT, "sin #12");

        test(DfpMath.sin(factory.newDfp("0.2")),
             factory.newDfp("0.19866933079506121546"),
             DfpField.FLAG_INEXACT, "sin #13");

        test(DfpMath.sin(factory.newDfp("0.3")),
             factory.newDfp("0.2955202066613395751"),
             DfpField.FLAG_INEXACT, "sin #14");

        test(DfpMath.sin(factory.newDfp("0.4")),
             factory.newDfp("0.38941834230865049166"),
             DfpField.FLAG_INEXACT, "sin #15");

        test(DfpMath.sin(factory.newDfp("0.5")),
             factory.newDfp("0.47942553860420300026"),  // off by one ULP
             DfpField.FLAG_INEXACT, "sin #16");

        test(DfpMath.sin(factory.newDfp("0.6")),
             factory.newDfp("0.56464247339503535721"),  // off by one ULP
             DfpField.FLAG_INEXACT, "sin #17");

        test(DfpMath.sin(factory.newDfp("0.7")),
             factory.newDfp("0.64421768723769105367"),
             DfpField.FLAG_INEXACT, "sin #18");

        test(DfpMath.sin(factory.newDfp("0.8")),
             factory.newDfp("0.71735609089952276163"),
             DfpField.FLAG_INEXACT, "sin #19");

        test(DfpMath.sin(factory.newDfp("0.9")),        // off by one ULP
             factory.newDfp("0.78332690962748338847"),
             DfpField.FLAG_INEXACT, "sin #20");

        test(DfpMath.sin(factory.newDfp("1.0")),
             factory.newDfp("0.84147098480789650666"),
             DfpField.FLAG_INEXACT, "sin #21");

        test(DfpMath.sin(factory.newDfp("1.1")),
             factory.newDfp("0.89120736006143533995"),
             DfpField.FLAG_INEXACT, "sin #22");

        test(DfpMath.sin(factory.newDfp("1.2")),
             factory.newDfp("0.93203908596722634968"),
             DfpField.FLAG_INEXACT, "sin #23");

        test(DfpMath.sin(factory.newDfp("1.3")),
             factory.newDfp("0.9635581854171929647"),
             DfpField.FLAG_INEXACT, "sin #24");

        test(DfpMath.sin(factory.newDfp("1.4")),
             factory.newDfp("0.98544972998846018066"),
             DfpField.FLAG_INEXACT, "sin #25");

        test(DfpMath.sin(factory.newDfp("1.5")),
             factory.newDfp("0.99749498660405443096"),
             DfpField.FLAG_INEXACT, "sin #26");

        test(DfpMath.sin(factory.newDfp("1.6")),
             factory.newDfp("0.99957360304150516323"),
             DfpField.FLAG_INEXACT, "sin #27");
    }


}

Other Java examples (source code examples)

Here is a short list of links related to this Java DfpMathTest.java source code file:



my book on functional programming

 

new blog posts

 

Copyright 1998-2019 Alvin Alexander, alvinalexander.com
All Rights Reserved.

A percentage of advertising revenue from
pages under the /java/jwarehouse URI on this website is
paid back to open source projects.